A cake cost twice as much as a scone at a nearby restaurant. Perry spent 14 of his money on some scones and half of the remaining sum on 3 cakes. He had $27 left.
- What was the cost of 1 scone?
- Zeph bought 3 cakes and 4 scones. How much did he spend altogether?
(a)
Fraction of Perry's amount left after buying the scones
= 1 -
14 =
34 Fraction of Perry's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Perry had left = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that Perry had left = Amount spent on 3 cakes
Cost of 3 cakes = $27
Cost of 1 cake = 27 ÷ 3 = $9
Cost of 1 cake is 2 times as much as the cost of 1 scone.
Cost of 1 scone
= 9 ÷ 2
= $4.50
(b)
Cost of 3 cakes and 4 scones
= 3 x 9 + 4 x 4.50
= 27 + 18
= $45
Answer(s): (a) $4.50; (b) $45
